Results 11 to 20 of about 939 (135)
Strong Law of Large Numbers of Pettis-Integrable Multifunctions
Journal of Mathematics, 2019 Using reversed martingale techniques, we prove the strong law of large numbres for independent Pettis-integrable multifunctions with convex weakly compact values in a Banach space.
Hamid Oulghazi, Fatima Ezzaki
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Mosco convergence of nonlocal to local quadratic forms [PDF]
Nonlinear Analysis, 2019 We study sequences of nonlocal quadratic forms and function spaces that are related to Markov jump processes in bounded domains with a Lipschitz boundary. Our aim is to show the convergence of these forms to local quadratic forms of gradient type. Under suitable conditions we establish the convergence in the sense of Mosco. Our framework allows bounded
Guy Fabrice Foghem Gounoue +2 more
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On a theorem about Mosco convergence in Hadamard spaces [PDF]
, 2020 Let $(f^n),f$ be a sequence of proper closed convex functions defined on a Hadamard space. We show that the convergence of proximal mappings $J^n_λx$ to $J_λx$, under certain additional conditions, imply Mosco convergence of $f^n$ to $f$. This result is a converse to a theorem of Bacak about Mosco convergence in Hadamard spaces.
Arian Bërdëllima
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Mosco convergence and reflexivity [PDF]
Proceedings of the American Mathematical Society, 1990 In this note we aim to show conclusively that Mosco convergence of convex sets and functions and the associated Mosco topology τ M {\tau _M} are useful notions only in the reflexive setting. Specifically, we prove that each of the following conditions is necessary and sufficient for a Banach space
Gerald Beer, Jonathan M. Borwein
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Regular Dirichlet subspaces and Mosco convergence [PDF]
, 2015 In this paper, we shall explore the Mosco convergence on regular subspaces of one-dimensional irreducible and strongly local Dirichlet forms. We find that if the characteristic sets of regular subspaces are convergent, then their associated regular subspaces are convergent in sense of Mosco.
Liping Li, Xiucui Song
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On Mosco convergence of convex sets [PDF]
Bulletin of the Australian Mathematical Society, 1988 We present a natural topology compatible with the Mosco convergence of sequences of closed convex sets in a reflexive space, and characterise the topology in terms of the continuity of the distance between convex sets and fixed weakly compact ones. When the space is separable, the topology is Polish.
Gerald Beer
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Mosco convergence and the Kadec property [PDF]
Proceedings of the American Mathematical Society, 1989 We study the relationship between Wijsman convergence and Mosco convergence for sequences of convex sets. Our central result is that Mosco convergence and Wijsman convergence coincide for sequences of convex sets if and only if the underlying space is reflexive with the dual norm having the Kadec property.
Jonathan M. Borwein, Simon Fitzpatrick
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Dual Kadec-Klee norms and the relationships between Wijsman, slice and Mosco convergence [PDF]
, 1993 In this paper, we completely settle several of the open questions regarding the relationships between the three most fundamental forms of set convergence. In particular, it is shown that Wijsman and slice convergence coincide precisely when the weak star and norm topologies agree on the dual sphere.
Jonathan M. Borwein, Jon D. Vanderwerff
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Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications [PDF]
36 pages, 2 figures.
Giga, Yoshikazu +2 more
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Mosco Convergence of Stable-Like Non-Local Dirichlet Forms on Metric Measure Spaces [PDF]
, 2019 13 pages. The main result Theorem 1.3 was already obtained in Lemma 4.2 of Z.-Q. Chen and R. Song, Continuity of eigenvalues of subordinate processes in domains. Math. Z. 252 (2006), 71-89.
Meng Yang
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